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Finding the Fourth Proportional to 9,260.77, 13,891.16 and 5,363.05

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Solution

The fourth proportional to 9,260.77, 13,891.16 and 5,363.05 is: 8,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.77 : 13,891.16 = 5,363.05 : x
  2. Step 2: Convert to fraction form
    9,260.77/13,891.16 = 5,363.05/x
  3. Step 3: Cross multiply
    9,260.77x = 13,891.16 × 5,363.05
  4. Step 4: Simplify right side
    9,260.77x = 74,498,985.64
  5. Step 5: Solve for x
    x = 74,498,985.64/9,260.77
  6. Step 6: Final answer
    x = 8,044.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.